(Answered): PLEASE USE PYTHON CODE. THANKS 5) Statistical table The standard normal curve areas table (see stand ...

5) Statistical table The standard normal curve areas table (see standard normal_area_table.pdf on Canvas, a similar table will be found in any statistics textbook) is a table giving the values of ?o f(x)dx where f(x) = vze=z/2 is the so-called standard normal distribution. These values are commonly used in statistical problems. The purpose of this problem is to create your own more precise table, by numerical integration. First note that f(x) decays rapidly to zero. i) Letting f(x) = vznez*/2, find the largest negative integer (i.e. smallest in magnitude) B such that f(n) evaluates to 0 in floating point arithmetic. Now that you have this value, we can replace the infinite ?a f(x)dx by SB f(x)dx. ii) Using Simpsons rule, calculate SB f(x)dx accurate to 6 decimal places. You may do this by increasing the number of intervals until you do not see any change in the 6th decimal place iii) Write a function that takes in a value of z, and returns SB f(x)dx accurate to 6 decimal places. You may just use the number of intervals that you discovered worked for part ii) iv) Write code to calculate SB f(x)dx for all of the values of z given in the standard normal curve table ( z=0.00, 0.01, 0.02, ... 3.49). Print out all of these numbers in a table, including the appropriate column and row headings, giving exactly 6 decimal places. I recommend writing code that produces comma separated value text that can be imported to a spreadsheet. Please look at the multiplicationtable.py example code. Note : you may specify the number of characters and decimal places for printing a floating point number using syntax like print("%10.6f"%x) where x is the variable to print. This specifies 10 total characters for the formatted number, with 6 figures after the decimal place. You may suppress the printing of the newline character by specifying end="", as in print("%10.6f"%x, end="") Shaded area = Pr2 =) TABLE 1 Standard normal curve areas 0 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.1 0.2 0.3 0.4 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.6217 0.6591 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517 0.6879 0.5239 0.5636 0.6026 0.6406 0.6772 0.7123 0.7454 0.7764 0.8051 0.8315 0.5 0.6 0.7 0.8 0.9 0.6915 0.7257 0.7580 0.7881 0.8159 0.6950 0.7291 0.7611 0.7910 0.8186 0.6985 0.7324 0.7642 0.7939 0.8212 0.7054 0.7389 0.7704 0.7995 0.8264 0.7190 0.7517 0.7823 0.8106 0.8365 0.7224 0.7549 0.7852 0.8133 0.8389 1.0 1.1 1.2 0.8413 0.8643 0.8849 0.9032 0.9192 0.8438 0.8665 0.8869 0.9049 0.9207 0.8461 0.8686 0.8888 0.9066 0.9222 0.7019 0.7357 0.7673 0.7967 0.8238 0.8485 0.8708 0.8907 0.9082 0.9236 0.9370 0.9484 0.9582 0.9664 0.9732 1.3 0.8508 0.8729 0.8925 0.9099 0.9251 0.9382 0.9495 0.9591 0.9671 0.9738 1.4 0.7157 0.7486 0.7794 0.8078 0.8340 0.8577 0.8790 0.8980 0.9147 0.9292 0.9418 0.9525 0.9616 0.9693 0.9756 0.8554 0.8770 0.8962 0.9131 0.9279 0.9406 0.9515 0.9608 0.9686 0.9750 0.8621 0.8830 0.9015 0.9177 0.9319 0.9441 0.9545 0.9633 0.9706 0.9767 1.5 1.6 1.7 1.8 1.9 0.5199 0.5596 0.5987 0.6368 0.6736 0.7088 0.7422 0.7734 0.8023 0.8289 0.8531 0.8749 0.8944 0.9115 0.9265 0.9394 0.9505 0.9599 0.9678 0.9744 0.9798 0.9842 0.9878 0.9906 0.9929 0.9946 0.9960 0.9970 0.9978 0.9984 0.9989 0.9992 0.9994 0.9996 0.9997 0.9332 0.9452 0.9554 0.9641 0.9713 0.9357 0.9474 0.9573 0.9656 0.9726 0.9345 0.9463 0.9564 0.9649 0.9719 0.9778 0.9826 0.9864 0.9896 0.9920 2.0 2.1 2.2 2.3 2.4 0.9772 0.9821 0.9861 0.9893 0.9918 0.9783 0.9830 0.9868 0.9898 0.9922 0.9793 0.9838 0.9875 0.9904 0.9927 0.9808 0.9850 0.9884 0.9911 0.9932 0.8599 0.8810 0.8997 0.9162 0.9306 0.9429 0.9535 0.9625 0.9699 0.9761 0.9812 0.9854 0.9887 0.9913 0.9934 0.9951 0.9963 0.9973 0.9980 0.9986 0.9990 0.9993 0.9995 0.9996 0.9997 2.5 2.6 2.7 2.8 2.9 0.9817 0.9857 0.9890 0.9916 0.9936 0.9952 0.9964 0.9974 0.9981 0.9986 0.9938 0.9953 0.9965 0.9974 0.9981 0.9788 0.9834 0.9871 0.9901 0.9925 0.9943 0.9957 0.9968 0.9977 0.9983 0.9988 0.9991 0.9994 0.9996 0.9997 0.9941 0.9956 0.9967 0.9976 0.9982 0.9940 0.9955 0.9966 0.9975 0.9982 0.9987 0.9991 0.9993 0.9995 0.9997 0.9803 0.9846 0.9881 0.9909 0.9931 0.9948 0.9961 0.9971 0.9979 0.9985 0.9989 0.9992 0.9994 0.9996 0.9997 0.9945 0.9959 0.9969 0.9977 0.9984 0.9988 0.9992 0.9994 0.9996 0.9997 0.9949 0.9962 0.9972 0.9979 0.9985 0.9989 0.9992 0.9995 0.9996 0.9997 3.0 3.1 3.2 3.3 3.4 0.9987 0.9990 0.9993 0.9995 0.9997 0.9987 0.9991 0.9994 0.9995 0.9997 0.9990 0.9993 0.9995 0.9997 0.9998